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Finding the Fourth Proportional to 613.96, 846.66 and 520.60

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Solution

The fourth proportional to 613.96, 846.66 and 520.60 is: 717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 846.66 = 520.60 : x
  2. Step 2: Convert to fraction form
    613.96/846.66 = 520.60/x
  3. Step 3: Cross multiply
    613.96x = 846.66 × 520.60
  4. Step 4: Simplify right side
    613.96x = 440,771.20
  5. Step 5: Solve for x
    x = 440,771.20/613.96
  6. Step 6: Final answer
    x = 717.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.